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  • 1
    Online Resource
    Online Resource
    Cambridge :Cambridge University Press,
    UID:
    almafu_9961294346302883
    Format: 1 online resource (x, 339 pages) : , digital, PDF file(s).
    ISBN: 1-139-17150-X
    Content: Most functions that occur in mathematics cannot be used directly in computer calculations. Instead they are approximated by manageable functions such as polynomials and piecewise polynomials. The general theory of the subject and its application to polynomial approximation are classical, but piecewise polynomials have become far more useful during the last twenty years. Thus many important theoretical properties have been found recently and many new techniques for the automatic calculation of approximations to prescribed accuracy have been developed. This book gives a thorough and coherent introduction to the theory that is the basis of current approximation methods. Professor Powell describes and analyses the main techniques of calculation supplying sufficient motivation throughout the book to make it accessible to scientists and engineers who require approximation methods for practical needs. Because the book is based on a course of lectures to third-year undergraduates in mathematics at Cambridge University, sufficient attention is given to theory to make it highly suitable as a mathematical textbook at undergraduate or postgraduate level.
    Note: Title from publisher's bibliographic system (viewed on 30 May 2018). , The approximation problem and existence of best approximations -- The uniqueness of best approximations -- Approximation operators and some approximating functions -- Polynomial interpolation -- Divided differences -- The uniform convergence of polynomial approximations -- The theory of minimax approximation -- The exchange algorithm -- The convergence of the exchange algorithm -- Rational approximation by the exchange algorithm -- Least squares approximation -- Properties of orthogonal polynomials -- Approximation of periodic functions -- The theory of best L1 approximation -- An example of L1 approximation and the discrete case -- The order of convergence of polynomial approximations -- The uniform boundedness theorem -- Interpolation by piecewise polynomials -- B-splines -- Convergence properties of spline approximations -- Knot positions and the calculation of spline approximations -- The Peano kernel theorem -- Natural and perfect splines -- Optimal interpolation.
    Additional Edition: ISBN 0-521-29514-9
    Language: English
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  • 2
    UID:
    gbv_43704808X
    Series Statement: AERE 7954
    Language: Undetermined
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  • 3
    UID:
    gbv_749322152
    Format: Online-Ressource (VIII, 347 p) , digital
    Edition: Springer eBook Collection. Computer Science
    ISBN: 9780387355146
    Series Statement: IFIP - The International Federation for Information Processing 46
    Content: System Modelling and Optimization covers research issues within systems theory, optimization, modelling, and computing. It includes contributions to structural mechanics, integer programming, nonlinear programming, interior point methods, dynamical systems, stability analysis, stochastic optimization, bilevel optimization, and semidefinite programming. Several survey papers written by leading experts in their fields complement new developments in theory and applications. This book contains most of the invited papers and a few carefully selected submitted papers that were presented at the 19th IFIP TC7 Conference on System Modelling and Optimization, which was held in Cambridge, England, from July 12 to 16, 1999, and sponsored by the International Federation for Information Processing (IFIP)
    Additional Edition: ISBN 9781475766738
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9781475766738
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9780792378815
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9781475766721
    Language: English
    URL: Volltext  (lizenzpflichtig)
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